Quantum mirrors of log Calabi–Yau surfaces and higher-genus curve counting
From MaRDI portal
Publication:5212329
DOI10.1112/S0010437X19007760zbMath1468.14095arXiv1808.07336WikidataQ126398287 ScholiaQ126398287MaRDI QIDQ5212329
Publication date: 28 January 2020
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.07336
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Deformation quantization, star products (53D55) Mirror symmetry (algebro-geometric aspects) (14J33)
Related Items (12)
On an Example of Quiver Donaldson–Thomas/Relative Gromov–Witten Correspondence ⋮ The canonical wall structure and intrinsic mirror symmetry ⋮ Strong positivity for the skein algebras of the 4-punctured sphere and of the 1-punctured torus ⋮ Refined count of oriented real rational curves ⋮ The quantum mirror to the quartic del Pezzo surface ⋮ Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras ⋮ Tropical refined curve counting from higher genera and lambda classes ⋮ Log BPS numbers of log Calabi-Yau surfaces ⋮ Stable maps to Looijenga pairs: orbifold examples ⋮ The quantum tropical vertex ⋮ Strong positivity for quantum theta bases of quantum cluster algebras ⋮ Scattering diagrams, theta functions, and refined tropical curve counts
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
- Stable logarithmic maps to Deligne-Faltings pairs. II
- Noncommutative del Pezzo surfaces and Calabi-Yau algebras
- From real affine geometry to complex geometry
- A duality map for quantum cluster varieties from surfaces
- Stable logarithmic maps to Deligne-Faltings pairs I
- Topological strings and integrable hierarchies
- Toric degenerations of toric varieties and tropical curves
- Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves
- Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces
- Mirror symmetry for log Calabi-Yau surfaces. I
- The tropical vertex
- Electric-magnetic duality and the geometric Langlands program
- Tropical refined curve counting from higher genera and lambda classes
- Curves in Calabi-Yau threefolds and topological quantum field theory
- Rational surfaces with an anti-canonical cycle
- Complete moduli in the presence of semiabelian group action.
- Mirror symmetry is \(T\)-duality
- The quantum tropical vertex
- Deformation quantization in algebraic geometry
- Block–Göttsche invariants from wall-crossing
- Curves on K 3 surfaces and modular forms
- On Non-Commutative Analytic Spaces Over Non-Archimedean Fields
- Cluster ensembles, quantization and the dilogarithm
- Noncommutative geometry based on commutator expansions
- Birational invariance in logarithmic Gromov–Witten theory
- Enumerative tropical algebraic geometry in ℝ²
- Logarithmic Gromov-Witten invariants
- Cluster Ensembles, Quantization and the Dilogarithm II: The Intertwiner
- Moduli of surfaces with an anti-canonical cycle
- Theta functions on varieties with effective anti-canonical class
- Intrinsic mirror symmetry and punctured Gromov-Witten invariants
- Mirror symmetry and T-duality in the complement of an anticanonical divisor
- Scattering diagrams, theta functions, and refined tropical curve counts
- Deformation quantization of algebraic varieties.
This page was built for publication: Quantum mirrors of log Calabi–Yau surfaces and higher-genus curve counting